The impact of vibration wave propagation and various anisotropic media can cause divergence problems in the traditional linear positioning solution process in practical engineering applications. To address this problem, a mathematical algorithm combined with the microseismic positioning principles is developed to formulate a microseismic nonlinear optimal positioning method. The developed algorithm introduces a downhill factor to enhance its stability and convergence for achieving global convergence. Moreover, a multidirectional iterative concept is proposed to improve the precision and scientific validity of the positioning results. This approach effectively minimizes errors in each direction of the localization results. The stability of the algorithm and the accuracy of source results were verified by comparing a rectangular coal block acoustic emission source test with a traditional linear localization algorithm. Its application in engineering fields has also demonstrated its efficacy in reducing the influence associated with the deployment of a microseismic station network.

在实际工程应用中，振动波传播和各种各向异性介质的影响会导致传统线性定位求解过程中出现发散问题。针对这一问题，提出了一种结合微震定位原理的数学算法，制定了微震非线性最优定位方法。所开发的算法引入了下坡因素来增强其稳定性和收敛性，以实现全局收敛。此外，提出了多向迭代的概念，以提高定位结果的精度和科学有效性。这种方法有效地减少了定位结果每个方向的误差。通过矩形煤块声发射源测试与传统线性定位算法的对比，验证了算法的稳定性和源结果的准确性。它在工程领域的应用也证明了它在减少与微地震站网络部署相关的影响方面的功效。